Use Powers of 10 to Estimate Quantities

We will use this concept to estimate large quantities and write in a format that helps you compare.

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Powers of 10

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Multiple Choice

Which represents the values of 10³?

• 10 + 10 + 10

• 10 x 10 x 10

• 10 x 3

Multiple Choice

What is the values of

8 x 10⁴?

• 80,000

• 8,000

• 800,000

• 800

​10⁴ = 10 x 10 x 10 x 10 =10,000

8 x 10,000 = 80,000​

Some text here about the topic of discussion

We will estimate the population using powers of 10.

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China's population rounds to 1 billion. Let's write that using powers of 10.

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1 billion =

1,000,000,000​ =

10⁹​

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Multiple Choice

Estimate the population of Japan.

• 100,000,000

• 200,000,000

• 10,000,000

​100,000,000 =

10⁸​

Multiple Choice

Compare the populations.

10⁹ __ 10⁸

• <

• >

• =

Multiple Choice

42 x 10⁵

• 4,200,000

• 42,000

• 420,000

• 4,200

​We can also estimate very small quantities

Will this power of 10 have a positive or negative exponent?

​Estimate the thickness of a human hair to

0.0002​

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0.0002 =

2 x 10^?​

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0.0002 =

2 x 10^-4

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Multiple Choice

Estimate 0.0013 using a single digit.

• 0.001

• 0.002

Multiple Choice

Write 0.001 as a power of 10.

• 1 x 10^-4

• 1 x 10^-3

• 1 x 10^-2

Multiple Choice

0.0867 x 10²

• 86.7

• 8.67

• 0.867

Multiple Choice

Which is the correct estimate for Canada?

• 1 x 10¹⁵

• 2 x 10¹⁵

Multiple Choice

Which is the correct estimate for USA?

• 2 x 10¹⁵

• 2 x 10¹⁶

Compare.

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2 x 10¹⁵ < 2 x 10¹⁶

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This shows that the value of the US is one more power of 10...

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which is 10 times greater than the value of Canada. ​

Now turn to workbook page 56.